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Bibliography

Monography Chapter

A Generalized Moebius Transform of Games on MV-algebras and Its Application to a Cimmino-type Algorithm for the Core

Kroupa Tomáš

: Optimization Theory and Related Topics, p. 139-158 , Eds: Reich Simeon, Zaslavski Alexander

: CEZ:AV0Z10750506

: 1M0572, GA MŠk, GA201/09/1957, GA ČR, GA201/09/1891, GA ČR

: coalition game, MV-algebra, Moebius transform

: 10.1090/conm/568/11281

: http://library.utia.cas.cz/separaty/2012/MTR/kroupa - a generalized moebius transform of games on mv-algebras and its application to a cimmino-type algorithm for the core.pdf

(eng): A generalization of the Moebius transform of games with finitely many players is introduced for games on MV-algebras. The variety of MV- algebras subsumes most coalition models. We characterize the class of games for which the generalized Moebius transform exists. An application of the proposed transform to a Cimmino-type algorithm is shown for the core solution in games with finitely-many players.

: BA